Questions: Points A and B are equidistant from point C. What is m / A ? Find CA.

Points A and B are equidistant from point C. What is m / A ? Find CA.
Transcript text: Points $A$ and $B$ are equidistant from point $C$. What is $m / A$ ? Find $C A$.
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Solution

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Solution Steps

Step 1: Find the measure of angle ABC.

Angles ABD and ABC are supplementary angles, so their measures add up to 180°. Angle ABD measures 115°, so angle ABC measures 180° - 115° = 65°.

Step 2: Find the measure of angle A.

Triangle ABC is isosceles since AC = BC. Thus, the base angles, A and ABC, are congruent. Angle ABC measures 65°, therefore angle A also measures 65°.

Step 3: Not enough information to solve.

There isn't enough information provided to find the length of CA. We only know the angles of triangle ABC, not any side lengths.

Final Answer

The measure of angle A is 65°. There is not enough information to find the length of CA.

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